Lattice Models of Ionic Systems with Charge Asymmetry

Abstract

The thermodynamics of a charge-asymmetric lattice gas of positive ions carrying charge $q$ and negative ions with charge $-zq$ is investigated using Debye-Hückel theory. Explicit analytic and numerical calculations, which take into account the formation of neutral and charged clusters and cluster solvation by the residual ions, are performed for $z=2$, 3 and 4. As charge asymmetry increases, the predicted critical point shifts to lower temperatures and higher densities. This trend agrees well with the results from recent Monte Carlo simulations for continuum charge-asymmetric hard-sphere ionic fluids and with the corresponding predictions from continuum Debye-Hückel theory.

submitted to J.Chem.Phys

References in corpus (6)

• Electrostatic correlations: from Plasma to Biology
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• Lattice Models of Ionic Systems
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• Mesoscopic theory for size- and charge- asymmetric ionic systems. I. Case of extreme asymmetry
• Correlation functions in ionic liquid at coexistence with ionic crystal. Results of the Brazovskii-type field theory
• Phase behaviour in ionic solutions: restricted primitive model of ionic liquid in explicit neutral solvent
• Thermodynamics of Electrolytes on Anisotropic Lattices
• Thermodynamics and Phase Transitions of Electrolytes on Lattices with Different Discretization Parameters